Perform the following operation for the binary equivalent of the decimal…
2018
Perform the following operation for the binary equivalent of the decimal numbers (−14)₁₀ + (−15)₁₀. The solution in 8-bit representation is:
- A.
11100011
- B.
00011101
- C.
10011101
- D.
11110011
Attempted by 10 students.
Show answer & explanation
Correct answer: A
First, convert -14 to 8-bit Two's Complement by inverting 00001110 and adding one to get 11110010. Next, convert -15 similarly to obtain 11110001. Add these binary numbers together to get 111100011, then discard the overflow carry bit. The final result is 11100011.
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